Question

Please explain this simply for me!

Medical x-rays, with a wavelength of about 10^(-10) m, can penetrate completely through your skin.

a. Ultraviolet rays, which cause sun burn by penetrating only the top level of skin, have a wavelength about 1,000 times the wavelength of an x-ray. Find the wavelength of ultraviolet rays. Show your work

Answer 1

thanks

Answer 2

10^(-10)(1000) = [10^(-10)](10^3)

Answer 3

so what did you do

Answer 4

the problem tells you to multiply the x-ray wavelenght by 1000

Answer 5

they, of course, threw alot of unessicary information in there

Answer 6

ya so all i have to do is multiply 10^-10 by 1000

Answer 7

yeah, use the property of multiplying exponents with alike bases, x^a*x^b = x^(a+b)

Answer 8

when i did it i got 1e-7

Answer 9

10^(-7)m

Answer 10

m = meters

Answer 11

could you help me with the second
part

Answer 12

b. The wavelengths of visible light are between 3.8 times 10^-7m and 7.6 times 10^-7m. Are these wavelengths longer or shorter than those of ultraviolet rays? (The ultraviolet rays are 10^-7)

Answer 13

this is testing your intuitive understanding of exponents, specificially negative ones

Answer 14

remember x^-1=1/x

Answer 15

yes so can you just help me with how to do a negative exponents like this one 12^-4

Answer 16

12^-4 = 12^(4)(-1) = 1/12^4

Answer 17

oh ok
i get it

Answer 18

(they are longer)